Approximation solvability of a class of nonlinear set-valued variational inclusions involving (A, eta)-monotone mappings

    Authors

    R. U. Verma

    Comments

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    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    (A, eta)-monotone mapping; class of nonlinear set-valued variational; inclusions; resolvent operator method; iterative algorithm; PERTURBED ITERATIVE ALGORITHMS; SENSITIVITY-ANALYSIS; OPERATOR; TECHNIQUE; MONOTONE MAPPINGS; GENERAL-CLASS; INEQUALITIES; SYSTEMS; MANN; Mathematics, Applied; Mathematics

    Abstract

    A new class of nonlinear set-valued variational inclusions involving (A, eta)-monotone mappings in a Hilbert space setting is introduced, and then based on the generalized resolvent operator technique associated with (A, eta)-monotonicity, the existence and approximation solvability of solutions using an iterative algorithm is investigated. (c) 2007 Elsevier Inc. All rights reserved.

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    337

    Issue/Number

    2

    Publication Date

    1-1-2008

    Document Type

    Article

    Language

    English

    First Page

    969

    Last Page

    975

    WOS Identifier

    WOS:000253172000016

    ISSN

    0022-247X

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